Modern Physics 7 Question 46
51. A nucleus at rest undergoes a decay emitting an -particle of de-Broglie wavelength, . If the mass of the daughter nucleus is and that of the -particle is . Determine the total kinetic energy in the final state. Hence obtain the mass of the parent nucleus in amu.
Show Answer
Answer:
Correct Answer: 51.
Solution:
- (a) Given mass of
-particle, amu and mass of daughter nucleus,
de-Broglie wavelength of
So, momentum of
From law of conservation of linear momentum, this should also be equal to the linear momentum of the daughter nucleus (in opposite direction).
Let
Substituting the values, we get
or
(b) Mass defect,
Therefore, mass of parent nucleus
Hence, mass of parent nucleus is